Pith Number

pith:BIT7MTVS

pith:2010:BIT7MTVSUI3TC7SPDJFBBAAYU2

not attested not anchored not stored refs pending

Minimal unknotting sequences of Reidemeister moves containing unmatched RII moves

Chuichiro Hayashi, Minori Sawada, Miwa Hayashi, Sayaka Yamada

arxiv:1011.3963 v1 · 2010-11-17 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIT7MTVSUI3TC7SPDJFBBAAYU2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:35:47.310640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a27f64eb2a237317e4f1a4a108018a68f4fe9e4e5c15b1343080efcbfb85576

Aliases

arxiv: 1011.3963 · arxiv_version: 1011.3963v1 · doi: 10.48550/arxiv.1011.3963 · pith_short_12: BIT7MTVSUI3T · pith_short_16: BIT7MTVSUI3TC7SP · pith_short_8: BIT7MTVS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BIT7MTVSUI3TC7SPDJFBBAAYU2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0a27f64eb2a237317e4f1a4a108018a68f4fe9e4e5c15b1343080efcbfb85576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de7c87799b780c4eef22c47eeb3f6bb286a3c9fb88085010957d5f2809d5e992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-17T14:07:12Z",
    "title_canon_sha256": "7817c8250482d43bb1e197e3ea4301fad39a678e416071c96ad912492f79e89e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3963",
    "kind": "arxiv",
    "version": 1
  }
}